Adiabatic Theorem
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High Quality Content by WIKIPEDIA articles! The adiabatic theorem is an important concept in quantum mechanics. Its original form, due to Max Born and Vladimir Fock (1928),can be stated as follows: A physical system remains in its instantaneous eigenstate if a given perturbation is acting on it slowly enough and if there is a gap between the eigenvalue and the rest of the Hamiltonian's spectrum. It may not be immediately clear from this ormulation but the adiabatic theorem is, in fact, an extremely intuitive concept. Simply stated, a quantum mechanical system subjected to gradually changing external conditions can adapt its functional form, while in the case of rapidly varying conditions, there is no time for the functional form of the state to adapt, so the probability density remains unchanged.The consequences of this apparently simple result are many, varied and extremely subtle. In order to make this clear we will begin with a fairly qualitative description, followed by a series of example systems, before undertaking a more rigorous analysis. Finally we will look at techniques used for adiabaticity calculations.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786130254612
- Genre Technik
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Anzahl Seiten 100
- Herausgeber Alphascript Publishing
- Größe H220mm x B150mm x T6mm
- Jahr 2009
- EAN 9786130254612
- Format Kartonierter Einband
- ISBN 978-613-0-25461-2
- Titel Adiabatic Theorem
- Untertitel Quantum mechanics, Max Born, Vladimir Fock, Eigenvalue, eigenvector and eigenspace, Perturbation theory (quantum mechanics), Hamiltonian (quantum mechanics), Spectrum (functional analysis)
- Gewicht 165g
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